Question

Solve the system of linear equations by graphing. y−x=17 y=4x+2

Answer 1

x = 5, y = 22 → (5, 22)

Explanation:

`\left\{\begin{array}{ccc}y-x=17&(1)\\y=4x+2&(2)\end{array}\right\\\\\\\text{substitute (2) to (1):}\\\\(4x+2)-x=17\qquad\text{combine like terms}\\\\(4x-x)+2=17\qquad\text{subtract 2 from both isdes}\\\\3x+2-2=17-2\\\\3x=15\qquad\text{divide both sides by 3}\\\\(3x)/(3)=(15)/(3)\\\\x=5`

`\text{Put the value of x to (2):}\\\\y=4(5)+2\\\\y=20+2\\\\y=22`

Answer 2

x=5, y=22. (5, 22).

Explanation:

y-x=17

y=4x+2

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4x+2-x=17

3x+2=17

3x=17-2

3x=15

x=15/3

x=5

y-5=17

y=17+5

y=22